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2078000928 = 253231232751
BaseRepresentation
bin111101111011011…
…1100011100100000
312100211010101101100
41323312330130200
513223432012203
6542110434400
7102331500513
oct17366743440
95324111340
102078000928
11976a82943
1249bb02a00
13271687863
14159da0d7a
15c266dea3
hex7bdbc720

2078000928 has 72 divisors (see below), whose sum is σ = 6099964416. Its totient is φ = 670320000.

The previous prime is 2078000923. The next prime is 2078000963. The reversal of 2078000928 is 8290008702.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×20780009282 = 8636175713537722368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2078000892 and 2078000901.

It is not an unprimeable number, because it can be changed into a prime (2078000923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107448 + ... + 125303.

It is an arithmetic number, because the mean of its divisors is an integer number (84721728).

Almost surely, 22078000928 is an apocalyptic number.

It is an amenable number.

2078000928 is an abundant number, since it is smaller than the sum of its proper divisors (4021963488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2078000928 is a wasteful number, since it uses less digits than its factorization.

2078000928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232798 (or 232787 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2078000928 is about 45585.0954589326. The cubic root of 2078000928 is about 1276.0917836383.

The spelling of 2078000928 in words is "two billion, seventy-eight million, nine hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 232751 465502 698253 931004 1396506 1862008 2094759 2793012 3724016 4189518 5586024 7215281 7448032 8379036 11172048 14430562 16758072 21645843 22344096 28861124 33516144 43291686 57722248 64937529 67032288 86583372 115444496 129875058 173166744 230888992 259750116 346333488 519500232 692666976 1039000464 2078000928